I like your hairstyle.

我喜欢你的发型。

A: Thanks for getting me an appointment with your hairdresser.

A: 谢谢你为我安排和你的美发师的约会。

B: No problem.  I like your hairstyle.

B: 别客气。我喜欢你的发型。

A: Thanks. I'm very pleased with it.

A: 谢谢。我对它非常满意。

B: Yes, it really suits you.

B: 是的，它非常适合你。

A: Yes, and I like the cut.

A: 是的，我喜欢这样的修剪。

B: You look younger, too!

B: 你还看起来更年轻了！

1. To compliment¹ someone on their appearance, for example, a new hairstyle, you can say: I like your hairstyle. / I like your hairstyle.   And more personally: It really suits you. / It really suits you.  And even more personally: You look younger.
要恭维某人的外表，例如，一个新发型，你可以说：I like your hairstyle. /我喜欢你的发型。而且更进一步地表示个人的看法：It really suits you. /它非常适合你。然后甚至更加进一步地表示个人的看法：You look younger. /你看起来更年轻了。

2. You can also comment yourself saying what you like about the new style: I like the cut. / I like the cut. And, more generally: I'm very pleased with it. / I'm very pleased with it.
你也可以说出你对新发型的看法，来进行自我评价：I like the cut. /我喜欢这样的修剪。而且，更为全面地评价：I'm very pleased with it. /我对这个发型非常满意